Treatise on Natural Philosophy, Volume 1, Issue 1At the University Press, 1879 - Mechanics, Analytic |
From inside the book
Results 1-5 of 75
Page xv
... values ; but always negative for some Roots - Non - oscillatory sub- sidence to Stable Equilibrium , or falling away from Un- stable - Oscillatory subsidence to Stable Equilibrium , or falling away from Unstable - Falling away from ...
... values ; but always negative for some Roots - Non - oscillatory sub- sidence to Stable Equilibrium , or falling away from Un- stable - Oscillatory subsidence to Stable Equilibrium , or falling away from Unstable - Falling away from ...
Page 4
... angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have 1 P = T = do ds do ds " " according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY .
... angle between the osculating planes at these points . Thus , denoting by p the radius of curvature , and the tortuosity , we have 1 P = T = do ds do ds " " according to the regular notation for the limiting values of 4 [ 7 . PRELIMINARY .
Page 12
... value of the velocity of any moving body , is evident to all , and is matter of everyday conversation . Thus , a ... values- Space described in one second , Ten times the space described in the first tenth of a second , A hundred دو ...
... value of the velocity of any moving body , is evident to all , and is matter of everyday conversation . Thus , a ... values- Space described in one second , Ten times the space described in the first tenth of a second , A hundred دو ...
Page 15
... values of u , v , w already given , Resolution § 25 , and we have the well - known geometrical theorem for the angle between two straight lines which make given angles with the axes , cos = = cos a cos à + cos ẞ cos μ + cos y cos v ...
... values of u , v , w already given , Resolution § 25 , and we have the well - known geometrical theorem for the angle between two straight lines which make given angles with the axes , cos = = cos a cos à + cos ẞ cos μ + cos y cos v ...
Page 16
... values , Similarly the transverse velocity is dx dy dt do cos - sin 0 , or r dt dt dx dy cos + dt Accelera- tion . 28. The velocity of a point is said to be accelerated or re- tarded according as it increases or diminishes , but the ...
... values , Similarly the transverse velocity is dx dy dt do cos - sin 0 , or r dt dt dx dy cos + dt Accelera- tion . 28. The velocity of a point is said to be accelerated or re- tarded according as it increases or diminishes , but the ...
Other editions - View all
Common terms and phrases
acceleration according action actual altered amount angle angular velocity application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance edition equal equations equilibrium Example expression finite fixed force function give given harmonic Hence inertia infinitely small instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular path period perpendicular plane position present principle problem produced proved quantity radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit University values whole
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.